10

10

96

Analysis of a Hydroelectric Plant connected to Electrical Power System in the Physical Domain

A bond graph model of a hydroelectric plant is
proposed. In order to analyze the system some structural properties
of a bond graph are used. The structural controllability of
the hydroelctric plant is described. Also, the steady state of the
state variables applying the bond graph in a derivative causality
assignment is obtained. Finally, simulation results of the system
are shown.

Bond graph, hydraulic plant, steady state.

9

8422

Observers Design for Systems Modelled by Bond Graphs with Multivariable Monotone Nonlinearities

A methodology to design a nonlinear observer in a
bond graph approach is proposed. The class of nonlinear observer
with multivariable nonlinearities is considered. A junction structure
of the bond graph observer is proposed. The proposed methodology
to an electrical transformer and a DC motor including the nonlinear
saturation is applied. Nonlinear observers for the transformer and DC
motor based on multivariable circle criterion in the physical domain
are proposed. In order to show the saturation effects on the
transformer and DC motor, simulation results are obtained. Finally,
the paper describes that convergence of the estimates to the true
states is achieved.

Bond graph, nonlinear observer, electrical
transformer, nonlinear saturation

8

10110

Analysis of an Electrical Transformer: A Bond Graph Approach

Bond graph models of an electrical transformer
including the nonlinear saturation are presented. These models
determine the relation between self and mutual inductances, and
the leakage and magnetizing inductances of power transformers
with two and three windings using the properties of a bond
graph. The modelling and analysis using this methodology to
three phase power transformers or transformers with internal
incipient faults can be extended.

Bond graph, electrical transformer, nonlinear
saturation

7

11705

Electrical and Magnetic Modelling of a Power Transformer: A Bond Graph Approach

Bond graph models of an electrical transformer including
the nonlinear saturation are presented. The transformer
using electrical and magnetic circuits are modelled. These models
determine the relation between self and mutual inductances, and
the leakage and magnetizing inductances of power transformers
with two windings using the properties of a bond graph. The
equivalence between electrical and magnetic variables is given.
The modelling and analysis using this methodology to three phase
power transformers can be extended.

Bond graph, electrical transformer, magnetic
circuits, nonlinear saturation.

6

12821

Analysis of a Singular Perturbed Synchronous Generator with a Bond Graph Approach

An analysis of a synchronous generator in a bond
graph approach is proposed. This bond graph allows to determine the
simplified models of the system by using singular perturbations.
Firstly, the nonlinear bond graph of the generator is linearized. Then,
the slow and fast state equations by applying singular perturbations
are obtained. Also, a bond graph to get the quasi-steady state of the
slow dynamic is proposed. In order to verify the effectiveness of the
singularly perturbed models, simulation results of the complete
system and reduced models are shown.

Bond graph modelling, synchronous generator,singular perturbations

5

14401

Steady State of Passive and Active Suspensions in the Physical Domain

The steady state response of bond graphs representing
passive and active suspension is presented. A bond graph with
preferred derivative causality assignment to get the steady state
is proposed. A general junction structure of this bond graph
is proposed. The proposed methodology to passive and active
suspensions is applied.

Bond graph, steady state, active suspension.

4

15119

Model Inversion of a Two Degrees of Freedom Linearized PUMA from Bicausal Bond Graphs

A bond graph model of a two degrees of freedom
PUMA is described. System inversion gives the system input
required to generate a given system output. In order to get the system
inversion of the PUMA manipulator, a linearization of the nonlinear
bond graph is obtained. Hence, the bicausality of the linearized bond
graph of the PUMA manipulator is applied. Thus, the bicausal bond
graph provides a systematic way of generating the equations of the
system inversion. Simulation results to verify the calculated input for
a given output are shown.

Bond graph, system inversion, bicausality, PUMA
manipulator

3

15388

A NonLinear Observer of an Electrical Transformer: A Bond Graph Approach

A bond graph model of an electrical transformer
including the nonlinear saturation is presented. A nonlinear observer for the transformer based on multivariable circle
criterion in the physical domain is proposed. In order to show the saturation and hysteresis effects on the electrical transformer,
simulation results are obtained. Finally, the paper describes that convergence of the estimates to the true states is achieved.

Bond graph, nonlinear observer, electrical transformer, nonlinear saturation.

2

9998755

Analysis of Electrical Networks Using Phasors: A Bond Graph Approach

This paper proposes a phasor representation of electrical networks by using bond graph methodology. A so-called phasor bond graph is built up by means of two-dimensional bonds, which represent the complex plane. Impedances or admittances are used instead of the standard bond graph elements. A procedure to obtain the steady-state values from a phasor bond graph model is presented. Besides the presentation of a phasor bond graph library in SIDOPS code, also an application example is discussed.

Bond graphs, phasor theory, steady-state, complex
power, electrical networks.

1

9998756

Phasor Analysis of a Synchronous Generator: A Bond Graph Approach

This paper presents the use of phasor bond graphs to obtain the steady-state behavior of a synchronous generator. The phasor bond graph elements are built using 2D multibonds, which represent the real and imaginary part of the phasor. The dynamic bond graph model of a salient-pole synchronous generator is showed, and verified viz. a sudden short-circuit test. The reduction of the dynamic model into a phasor representation is described. The previous test is executed on the phasor bond graph model, and its steady-state values are compared with the dynamic response. Besides, the widely used power (torque)-angle curves are obtained by means of the phasor bond graph model, to test the usefulness of this model.

Bond graphs, complex power, phasors, synchronous
generator, short-circuit, open-circuit,power-angle curve.